2661933840 has 80 divisors (see below), whose sum is σ = 8270952768. Its totient is φ = 708218368.

The previous prime is 2661933787. The next prime is 2661933907. The reversal of 2661933840 is 483391662.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2661933792 and 2661933801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93802 + ... + 118838.

Almost surely, 2^2661933840 is an apocalyptic number.

2661933840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135476384).

2661933840 is an abundant number, since it is smaller than the sum of its proper divisors (5609018928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2661933840 is a wasteful number, since it uses less digits than its factorization.

2661933840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25496 (or 25490 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 2661933840 is about 51593.9322013742. The cubic root of 2661933840 is about 1385.9016731947.

The spelling of 2661933840 in words is "two billion, six hundred sixty-one million, nine hundred thirty-three thousand, eight hundred forty".